SOLUTION: If you have $1.15 in dimes, nickels, and quarters, someone asked you for change of dollar and you could not give them exact change, what are possible combinations of each coin?
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Question 1117033: If you have $1.15 in dimes, nickels, and quarters, someone asked you for change of dollar and you could not give them exact change, what are possible combinations of each coin? Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
One possible combination is (3 quarters, 4 dimes and 0 nickels).
The other possible combination is (1 quarter, 9 dimes and 0 nickels).
And there are no other combinations
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It is a Math problem (a kind of entertainment problems).
It can be solved/proved formally by finding all possible combinations as the solutions of a Diophantine equation.
It can be solved logically by noticing that the necessary and sufficient condition for the solution is the absence of nickels in the combinations.
